Turbine bucket having tip shroud fillet, tip shroud cross-drilled apertures and profile

ABSTRACT

Various embodiments of the invention include turbine buckets and systems employing such buckets. Various particular embodiments include a turbine bucket having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge; and a tip shroud connected with a second end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the tip shroud including a tip shroud fillet connecting the airfoil and the tip shroud and having a non-uniform thickness across an axial length of the airfoil.

FIELD OF THE INVENTION

The subject matter disclosed herein relates to turbomachines. More particularly, the subject matter disclosed herein relates to components within turbomachines such as gas and/or steam turbines.

BACKGROUND OF THE INVENTION

Some aircraft and/or power plant systems, for example certain jet aircraft, nuclear, simple cycle and combined cycle power plant systems, employ turbines (also referred to as turbomachines) in their design and operation. Some of these turbines employ airfoils (e.g., turbine blades, blades, airfoils, etc.) which during operation are exposed to fluid flows. These airfoils are configured to aerodynamically interact with the fluid flows and generate energy (e.g., creating thrust, turning kinetic energy to mechanical energy, thermal energy to mechanical energy, etc.) from these fluid flows as part of power generation. As a result of this interaction and conversion, the aerodynamic characteristics and losses of these airfoils have an impact on system and turbine operation, performance, thrust, efficiency, and power.

BRIEF DESCRIPTION OF THE INVENTION

Various embodiments of the invention include turbine buckets and systems employing such buckets. Various particular embodiments include a turbine bucket having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge; and a tip shroud connected with a second end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the tip shroud including a tip shroud fillet connecting the airfoil and the tip shroud and having a non-uniform thickness across an axial length of the airfoil.

A first aspect of the invention includes a turbine bucket having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge; and a tip shroud connected with a second end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the tip shroud including a tip shroud fillet connecting the airfoil and the tip shroud and having a non-uniform thickness across an axial length of the airfoil.

A second aspect of the invention includes a turbine rotor section including: a set of buckets, the set of buckets including at least one bucket having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge; and a tip shroud connected with a second end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the tip shroud including a tip shroud fillet connecting the airfoil and the tip shroud and having a non-uniform thickness across an axial length of the airfoil, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Z coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the Z values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.

A third aspect of the invention includes a turbine bucket having: a static nozzle section; and a rotor section at least partially contained within the static nozzle section, the rotor section having a set of static buckets including at least one bucket having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the Z values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.

BRIEF DESCRIPTION OF THE DRAWINGS

These and other features of this invention will be more readily understood from the following detailed description of the various aspects of the invention taken in conjunction with the accompanying drawings that depict various embodiments of the invention, in which:

FIG. 1 shows a three-dimensional partial cut-away perspective view of a portion of a turbine according to an embodiment of the invention.

FIG. 2 shows a schematic three-dimensional depiction of a turbine bucket including an airfoil and a base according to various embodiments of the invention.

FIG. 3 shows a three-dimensional depiction of a portion of a bucket according to various embodiments of the invention.

FIG. 4 shows a partially transparent perspective view of a portion of a bucket according to various embodiments of the invention.

FIG. 5 shows a schematic three-dimensional depiction of a plurality of turbine buckets according to various embodiments of the invention.

FIG. 6 shows a schematic block diagram illustrating portions of a multi-shaft combined cycle power plant system according to embodiments of the invention; and

FIG. 7 shows a schematic block diagram illustrating portions of a single-shaft combined cycle power plant system according to embodiments of the invention.

It is noted that the drawings of the invention are not necessarily to scale. The drawings are intended to depict only typical aspects of the invention, and therefore should not be considered as limiting the scope of the invention. It is understood that elements similarly numbered between the FIGURES may be substantially similar as described with reference to one another. Further, in embodiments shown and described with reference to FIGS. 1-6, like numbering may represent like elements. Redundant explanation of these elements has been omitted for clarity. Finally, it is understood that the components of FIGS. 1-6 and their accompanying descriptions may be applied to any embodiment described herein.

DETAILED DESCRIPTION OF THE INVENTION

As noted herein, various aspects of the invention are directed toward turbine buckets. Particular aspects of the invention include turbine buckets having a tip shroud fillet and/or cross-drilled holes in the tip shroud.

In contrast to conventional turbine buckets, aspects of the invention include a turbine bucket (e.g., a dynamic bucket for driving a turbine shaft) having a tip shroud fillet, cross-drilled apertures in the tip shroud, and a profile. The tip shroud fillet and the cross-drilled apertures (or, holes) in the tip shroud can provide for enhanced performance, efficiency and/or durability of the bucket (and associated turbine stages and turbine machines) when compared with conventional buckets. In particular, the tip shroud fillet can have a non-uniform thickness across an axial length of the airfoil across an axial length of the airfoil. In some cases, the fillet has an area with an increased thickness relative to the remainder of the fillet at approximately 20 percent to approximately 50 percent of an axial chord length of the airfoil. In various embodiments, the cross-drilled apertures can enhance cooling of the tip shroud and the tip region of the airfoil.

As used herein, the terms “axial” and/or “axially” refer to the relative position/direction of objects along axis A, which is substantially parallel to the axis of rotation of the turbomachine (in particular, the rotor section). As further used herein, the terms “radial” and/or “radially” refer to the relative position/direction of objects along axis (r), which is substantially perpendicular with axis A and intersects axis A at only one location. Additionally, the terms “circumferential” and/or “circumferentially” refer to the relative position/direction of objects along a circumference which surrounds axis A but does not intersect the axis A at any location. Further, the term leading edge refers to components and/or surfaces which are oriented upstream relative to the fluid flow of the system, and the term trailing edge refers to components and/or surfaces which are oriented downstream relative to the fluid flow of the system.

In the following description, reference is made to the accompanying drawings that form a part thereof, and in which is shown by way of illustration specific embodiments in which the present teachings may be practiced. These embodiments are described in sufficient detail to enable those skilled in the art to practice the present teachings and it is to be understood that other embodiments may be utilized and that changes may be made without departing from the scope of the present teachings. The following description is, therefore, merely exemplary.

Referring to the drawings, FIG. 1 shows a perspective partial cut-away illustration of a turbine 10 (e.g., a gas or steam turbine) according to various embodiments of the invention. Turbine 10 includes a rotor 12 that includes a rotating shaft 14 and a plurality of axially spaced rotor wheels 18. A plurality of rotating buckets 20 (dynamic buckets) are mechanically coupled to each rotor wheel 18. More specifically, buckets 20 are arranged in rows that extend circumferentially around each rotor wheel 18. A static nozzle section 21 is shown including a plurality of stationary nozzles 22 that circumferentially around shaft 14, and the nozzles 22 are axially positioned between adjacent rows of buckets 20. Stationary nozzles 22 cooperate with buckets 20 to form a stage of the turbine 10, and to define a portion of a flow path through turbine 10. As shown, the static nozzle section 21 at least partially surrounds the rotor 12 (shown in this cut-away view). It is understood that the turbine 10 shown is a dual-flow turbine 10 that includes an axially centered inlet mouth which feeds two sets of turbine stages. It is understood that various teachings can be applied to axial turbines, e.g., axial inlet gas turbines that inlet a combustion gas from a first axial end and outlet that combustion gas to a second axial end after the gas has performed mechanical work on the turbine.

Returning to FIG. 1, in operation, gas 24 enters an inlet 26 of turbine 10 and is channeled through stationary nozzles 22. Nozzles 22 direct gas 24 against blades 20. Gas 24 passes through the remaining stages imparting a force on buckets 20 causing shaft 14 to rotate. At least one end of turbine 10 may extend axially away from rotating shaft 12 and may be attached to a load or machinery (not shown) such as, but not limited to, a generator, and/or another turbine.

In one embodiment, turbine 10 may include five stages. The five stages are referred to as L0, L1, L2, L3 and L4. Stage L4 is the first stage and is the smallest (in a radial direction) of the five stages. Stage L3 is the second stage and is the next stage in an axial direction. Stage L2 is the third stage and is shown in the middle of the five stages. Stage L1 is the fourth and next-to-last stage. Stage L0 is the last stage and is the largest (in a radial direction). It is to be understood that five stages are shown as one example only, and each turbine may have more or less than five stages. Also, as will be described herein, the teachings of the invention do not require a multiple stage turbine. In another embodiment, turbine 10 may comprise an aircraft engine used to produce thrust.

Turning to FIG. 2, a schematic three-dimensional depiction of a turbine bucket (or simply, bucket) 200 is shown according to various embodiments. The bucket 200 is a rotatable (dynamic) bucket which is part of a set of buckets circumferentially dispersed about a rotor shaft in a stage of a turbine (e.g., turbine 10). That is, during operation of a turbine (e.g., turbine 10), the bucket 200 will rotate about the axis A as a working fluid (e.g., gas or steam) is directed across the bucket's airfoil, initiating rotation of a rotor shaft (e.g., shaft 14). It is understood that bucket 200 is configured to couple (mechanically couple via fasteners, welds, slot/grooves, etc.) with a plurality of similar or distinct buckets (e.g., buckets 200 or other buckets) to form a set of buckets in a stage of the turbine.

Returning to FIG. 2, the turbine bucket 200 can include an airfoil 202 having a suction side 204 (obstructed in this view), and a pressure side 206 opposing the suction side 204. The bucket 200 can also include a leading edge 208 spanning between the pressure side 206 and the suction side 204, and a trailing edge 210 opposing the leading edge 208 and spanning between the pressure side 206 and the suction side 204.

As shown, the bucket 200 can also include a base 212 connected with the airfoil 202. The base 212 can be connected with the airfoil 202 along the suction side 204, pressure side 206, trailing edge 210 and the leading edge 208. In various embodiments, the bucket 200 includes a fillet 214 proximate a first end 215 of the airfoil 202, the fillet 214 connecting the airfoil 202 and the base 212. The fillet 214 can include a weld or braze fillet, which may be formed via conventional MIG welding, TIG welding, brazing, etc. As is known in the art, the base 212 is designed to fit into a mating slot in the turbine rotor shaft (e.g., shaft 14) and mate with adjacent base components of other buckets 200. The base 212 is designed to be located radially inboard of the airfoil 202

FIG. 3 shows a schematic perspective view of a portion of bucket 200, including a tip shroud 218 connected with a second end 220 of the airfoil 202 along the suction side, pressure side, trailing edge and the leading edge. Tip shroud 218 includes a tip shroud fillet 222 the airfoil 202 and the tip shroud 218, where the tip shroud fillet 222 has a non-uniform thickness across an axial length LA (along axis A) of the airfoil 202. That is, the tip shroud fillet 222 can include a first section 222A having a first thickness, and a second section 222B having a second, greater thickness. In some cases, second section 222B is located between approximately 20 percent to approximately 50 percent of an axial chord length of the airfoil 202.

With reference to FIG. 1, in various embodiments, the bucket 200 can include a third stage bucket (L2). In particular embodiments, the improved flow profile across the airfoil 202 and base 212 interface allows that third stage bucket (L2) to withstand the high-heat gas entering the turbine 10 at that third stage. In various embodiments, the turbine 10 can include a set of buckets 200 in only the third stage (L2) of the turbine 10, or in only the third stage (L2) and the fourth stage (L1) of the turbine 10.

In various embodiments, as shown in the schematic partially transparent perspective view in FIG. 4, bucket 200 can also include a set of cross-drilled apertures 224 extending through tip shroud 218 (in an at least partially radial direction). In various embodiments, cross-drilled apertures 224 e are oriented at a divergent angle (going from radially inboard to radially outboard) relative to primary cooling apertures 226 extending radially through the tip shroud 218. That is, the cross-drilled apertures 224 are fluidly connected with the primary cooling apertures 226, and extend in various embodiments at least partially tangentially from primary cooling apertures to allow flow of cooling fluid outward through a distinct portion of the radially outer surface 228 of tip shroud 218.

With reference to FIG. 5 (and continuing reference to FIGS. 2-4), a plurality of points 270-278 along span S, including root 215 and tip 217, can correspond to Z coordinate values of chord lines, and a cross section of airfoil 202 at each point can be described by a respective set of X and Y coordinates. For example, 100 points can be listed for each cross section 270-278, though it should be apparent that more or fewer points can be used for each cross section, and more or fewer cross sections can be used, as may be desired and/or appropriate. The X, Y, and Z coordinate values in TABLE I have been expressed in normalized or non-dimensionalized form in values of from 0 to 1, but it should be apparent that any or all of the coordinate values could instead be expressed in distance units so long as the proportions are maintained. To convert an X, Y or Z value of TABLE I to a respective X, Y or Z coordinate value in units of distance, such as inches or meters, the non-dimensional X, Y or Z value given in TABLE I can be multiplied by an airfoil height of airfoil 202 in such units of distance. By connecting the X and Y values with smooth continuing arcs, each profile cross section at each distance Z can be fixed, and the airfoil profiles of the various surface locations between the distances Z can be determined by smoothly connecting adjacent profile sections to one another, thus forming the airfoil profile.

The values in TABLE I are generated and shown to four decimal places for determining the profile of a nominal airfoil 202 at ambient, non-operating, or non-hot conditions, and do not take any coatings or fillets into account, though embodiments could account for other conditions, coatings, and/or fillets. To allow for typical manufacturing tolerances and/or coating thicknesses, ±values can be added to the values listed in TABLE I, particularly to the X and Y values therein. For example, a tolerance of about 10-20 percent of a thickness of the trailing edge in a direction normal to any surface location along the airfoil profile can define an airfoil profile envelope for a bucket airfoil design at cold or room temperature. In other words, a distance of about 10-20 percent of a thickness of the trailing edge in a direction normal to any surface location along the airfoil profile can define a range of variation between measured points on an actual airfoil surface and ideal positions of those points, particularly at a cold or room temperature, as embodied by the invention. The bucket airfoil design, as embodied by the invention, is robust to this range of variation without impairment of mechanical and aerodynamic functions. Likewise, the profile and/or design can be scaled up or down, such as geometrically, without impairment of operation, and such scaling can be facilitated by use of normalized coordinate values, i.e. multiplying the normalized values by a scaling factor, or a larger or smaller number of distance units than might have originally been used. For example, the values in TABLE I, particularly the X and Y values, could be multiplied by a scaling factor of 2, 0.5, or any other desired scaling factor. In various embodiments, the X, Y, and Z distances are scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil. Alternatively, the values could be multiplied by a larger or smaller desired span. As referenced herein, the origin of the X, Y, Z coordinate system is the root of the leading edge (junction 232) of the airfoil 202.

TABLE 1 Non-Dimensionalized (X Y Z/Span Height) N Location X Y Z 1 Suction-Side 0.0000 0.0005 0.0000 2 Suction-Side 0.0012 0.0050 0.0000 3 Suction-Side 0.0037 0.0090 0.0000 4 Suction-Side 0.0067 0.0127 0.0000 5 Suction-Side 0.0100 0.0161 0.0000 6 Suction-Side 0.0135 0.0193 0.0000 7 Suction-Side 0.0170 0.0224 0.0000 8 Suction-Side 0.0207 0.0254 0.0000 9 Suction-Side 0.0245 0.0282 0.0000 10 Suction-Side 0.0284 0.0309 0.0000 11 Suction-Side 0.0323 0.0336 0.0000 12 Suction-Side 0.0363 0.0361 0.0000 13 Suction-Side 0.0403 0.0386 0.0000 14 Suction-Side 0.0444 0.0410 0.0000 15 Suction-Side 0.0485 0.0433 0.0000 16 Suction-Side 0.0527 0.0455 0.0000 17 Suction-Side 0.0569 0.0477 0.0000 18 Suction-Side 0.0611 0.0497 0.0000 19 Suction-Side 0.0654 0.0517 0.0000 20 Suction-Side 0.0697 0.0536 0.0000 21 Suction-Side 0.0741 0.0554 0.0000 22 Suction-Side 0.0785 0.0571 0.0000 23 Suction-Side 0.0830 0.0587 0.0000 24 Suction-Side 0.0874 0.0603 0.0000 25 Suction-Side 0.0919 0.0617 0.0000 26 Suction-Side 0.0964 0.0631 0.0000 27 Suction-Side 0.1010 0.0644 0.0000 28 Suction-Side 0.1056 0.0655 0.0000 29 Suction-Side 0.1102 0.0666 0.0000 30 Suction-Side 0.1148 0.0676 0.0000 31 Suction-Side 0.1195 0.0684 0.0000 32 Suction-Side 0.1241 0.0692 0.0000 33 Suction-Side 0.1288 0.0698 0.0000 34 Suction-Side 0.1335 0.0704 0.0000 35 Suction-Side 0.1382 0.0708 0.0000 36 Suction-Side 0.1429 0.0711 0.0000 37 Suction-Side 0.1476 0.0713 0.0000 38 Suction-Side 0.1524 0.0713 0.0000 39 Suction-Side 0.1571 0.0712 0.0000 40 Suction-Side 0.1618 0.0710 0.0000 41 Suction-Side 0.1665 0.0707 0.0000 42 Suction-Side 0.1712 0.0702 0.0000 43 Suction-Side 0.1759 0.0696 0.0000 44 Suction-Side 0.1806 0.0688 0.0000 45 Suction-Side 0.1852 0.0679 0.0000 46 Suction-Side 0.1898 0.0669 0.0000 47 Suction-Side 0.1944 0.0657 0.0000 48 Suction-Side 0.1989 0.0644 0.0000 49 Suction-Side 0.2034 0.0629 0.0000 50 Suction-Side 0.2079 0.0613 0.0000 51 Suction-Side 0.2123 0.0595 0.0000 52 Suction-Side 0.2166 0.0576 0.0000 53 Suction-Side 0.2209 0.0556 0.0000 54 Suction-Side 0.2251 0.0534 0.0000 55 Suction-Side 0.2292 0.0511 0.0000 56 Suction-Side 0.2332 0.0487 0.0000 57 Suction-Side 0.2372 0.0461 0.0000 58 Suction-Side 0.2411 0.0434 0.0000 59 Suction-Side 0.2449 0.0406 0.0000 60 Suction-Side 0.2486 0.0377 0.0000 61 Suction-Side 0.2522 0.0347 0.0000 62 Suction-Side 0.2558 0.0316 0.0000 63 Suction-Side 0.2593 0.0284 0.0000 64 Suction-Side 0.2627 0.0251 0.0000 65 Suction-Side 0.2660 0.0217 0.0000 66 Suction-Side 0.2693 0.0183 0.0000 67 Suction-Side 0.2724 0.0148 0.0000 68 Suction-Side 0.2755 0.0112 0.0000 69 Suction-Side 0.2785 0.0076 0.0000 70 Suction-Side 0.2815 0.0039 0.0000 71 Suction-Side 0.2844 0.0002 0.0000 72 Suction-Side 0.2872 −0.0036 0.0000 73 Suction-Side 0.2900 −0.0074 0.0000 74 Suction-Side 0.2927 −0.0113 0.0000 75 Suction-Side 0.2954 −0.0152 0.0000 76 Suction-Side 0.2980 −0.0192 0.0000 77 Suction-Side 0.3006 −0.0231 0.0000 78 Suction-Side 0.3031 −0.0271 0.0000 79 Suction-Side 0.3056 −0.0311 0.0000 80 Suction-Side 0.3080 −0.0352 0.0000 81 Suction-Side 0.3105 −0.0392 0.0000 82 Suction-Side 0.3128 −0.0433 0.0000 83 Suction-Side 0.3152 −0.0474 0.0000 84 Suction-Side 0.3175 −0.0515 0.0000 85 Suction-Side 0.3199 −0.0556 0.0000 86 Suction-Side 0.3221 −0.0598 0.0000 87 Suction-Side 0.3244 −0.0639 0.0000 88 Suction-Side 0.3267 −0.0681 0.0000 89 Suction-Side 0.3289 −0.0722 0.0000 90 Suction-Side 0.3311 −0.0764 0.0000 91 Suction-Side 0.3333 −0.0806 0.0000 92 Suction-Side 0.3355 −0.0848 0.0000 93 Suction-Side 0.3377 −0.0889 0.0000 94 Suction-Side 0.3399 −0.0931 0.0000 95 Suction-Side 0.3421 −0.0973 0.0000 96 Suction-Side 0.3431 −0.0993 0.0000 97 Suction-Side 0.3435 −0.1010 0.0000 98 Suction-Side 0.3432 −0.1027 0.0000 99 Suction-Side 0.3424 −0.1042 0.0000 100 Suction-Side 0.3412 −0.1053 0.0000 101 Pressure-Side 0.0000 0.0005 0.0000 102 Pressure-Side 0.0011 −0.0032 0.0000 103 Pressure-Side 0.0040 −0.0059 0.0000 104 Pressure-Side 0.0076 −0.0074 0.0000 105 Pressure-Side 0.0115 −0.0082 0.0000 106 Pressure-Side 0.0155 −0.0085 0.0000 107 Pressure-Side 0.0194 −0.0086 0.0000 108 Pressure-Side 0.0234 −0.0085 0.0000 109 Pressure-Side 0.0273 −0.0082 0.0000 110 Pressure-Side 0.0313 −0.0079 0.0000 111 Pressure-Side 0.0352 −0.0075 0.0000 112 Pressure-Side 0.0392 −0.0071 0.0000 113 Pressure-Side 0.0431 −0.0067 0.0000 114 Pressure-Side 0.0470 −0.0062 0.0000 115 Pressure-Side 0.0510 −0.0058 0.0000 116 Pressure-Side 0.0549 −0.0053 0.0000 117 Pressure-Side 0.0589 −0.0049 0.0000 118 Pressure-Side 0.0628 −0.0044 0.0000 119 Pressure-Side 0.0667 −0.0040 0.0000 120 Pressure-Side 0.0707 −0.0036 0.0000 121 Pressure-Side 0.0746 −0.0032 0.0000 122 Pressure-Side 0.0786 −0.0028 0.0000 123 Pressure-Side 0.0825 −0.0024 0.0000 124 Pressure-Side 0.0864 −0.0021 0.0000 125 Pressure-Side 0.0904 −0.0018 0.0000 126 Pressure-Side 0.0944 −0.0015 0.0000 127 Pressure-Side 0.0983 −0.0013 0.0000 128 Pressure-Side 0.1023 −0.0011 0.0000 129 Pressure-Side 0.1062 −0.0009 0.0000 130 Pressure-Side 0.1102 −0.0008 0.0000 131 Pressure-Side 0.1141 −0.0007 0.0000 132 Pressure-Side 0.1181 −0.0007 0.0000 133 Pressure-Side 0.1221 −0.0007 0.0000 134 Pressure-Side 0.1260 −0.0007 0.0000 135 Pressure-Side 0.1300 −0.0008 0.0000 136 Pressure-Side 0.1339 −0.0009 0.0000 137 Pressure-Side 0.1379 −0.0011 0.0000 138 Pressure-Side 0.1419 −0.0013 0.0000 139 Pressure-Side 0.1458 −0.0015 0.0000 140 Pressure-Side 0.1498 −0.0018 0.0000 141 Pressure-Side 0.1537 −0.0022 0.0000 142 Pressure-Side 0.1576 −0.0026 0.0000 143 Pressure-Side 0.1616 −0.0031 0.0000 144 Pressure-Side 0.1655 −0.0036 0.0000 145 Pressure-Side 0.1694 −0.0042 0.0000 146 Pressure-Side 0.1733 −0.0048 0.0000 147 Pressure-Side 0.1772 −0.0055 0.0000 148 Pressure-Side 0.1811 −0.0062 0.0000 149 Pressure-Side 0.1850 −0.0070 0.0000 150 Pressure-Side 0.1889 −0.0079 0.0000 151 Pressure-Side 0.1927 −0.0088 0.0000 152 Pressure-Side 0.1966 −0.0097 0.0000 153 Pressure-Side 0.2004 −0.0107 0.0000 154 Pressure-Side 0.2042 −0.0118 0.0000 155 Pressure-Side 0.2080 −0.0129 0.0000 156 Pressure-Side 0.2118 −0.0141 0.0000 157 Pressure-Side 0.2156 −0.0154 0.0000 158 Pressure-Side 0.2193 −0.0167 0.0000 159 Pressure-Side 0.2230 −0.0180 0.0000 160 Pressure-Side 0.2267 −0.0194 0.0000 161 Pressure-Side 0.2304 −0.0209 0.0000 162 Pressure-Side 0.2341 −0.0224 0.0000 163 Pressure-Side 0.2377 −0.0240 0.0000 164 Pressure-Side 0.2413 −0.0257 0.0000 165 Pressure-Side 0.2449 −0.0274 0.0000 166 Pressure-Side 0.2484 −0.0291 0.0000 167 Pressure-Side 0.2519 −0.0310 0.0000 168 Pressure-Side 0.2554 −0.0328 0.0000 169 Pressure-Side 0.2589 −0.0348 0.0000 170 Pressure-Side 0.2623 −0.0368 0.0000 171 Pressure-Side 0.2657 −0.0388 0.0000 172 Pressure-Side 0.2690 −0.0410 0.0000 173 Pressure-Side 0.2724 −0.0431 0.0000 174 Pressure-Side 0.2756 −0.0454 0.0000 175 Pressure-Side 0.2789 −0.0476 0.0000 176 Pressure-Side 0.2821 −0.0500 0.0000 177 Pressure-Side 0.2852 −0.0524 0.0000 178 Pressure-Side 0.2883 −0.0548 0.0000 179 Pressure-Side 0.2914 −0.0573 0.0000 180 Pressure-Side 0.2944 −0.0599 0.0000 181 Pressure-Side 0.2974 −0.0625 0.0000 182 Pressure-Side 0.3004 −0.0651 0.0000 183 Pressure-Side 0.3032 −0.0679 0.0000 184 Pressure-Side 0.3061 −0.0706 0.0000 185 Pressure-Side 0.3089 −0.0734 0.0000 186 Pressure-Side 0.3116 −0.0763 0.0000 187 Pressure-Side 0.3143 −0.0792 0.0000 188 Pressure-Side 0.3170 −0.0821 0.0000 189 Pressure-Side 0.3196 −0.0851 0.0000 190 Pressure-Side 0.3222 −0.0881 0.0000 191 Pressure-Side 0.3247 −0.0911 0.0000 192 Pressure-Side 0.3273 −0.0942 0.0000 193 Pressure-Side 0.3297 −0.0973 0.0000 194 Pressure-Side 0.3322 −0.1004 0.0000 195 Pressure-Side 0.3346 −0.1036 0.0000 196 Pressure-Side 0.3358 −0.1050 0.0000 197 Pressure-Side 0.3371 −0.1056 0.0000 198 Pressure-Side 0.3385 −0.1059 0.0000 199 Pressure-Side 0.3399 −0.1058 0.0000 200 Pressure-Side 0.3412 −0.1053 0.0000 1 Suction-Side 0.0108 0.0059 0.1000 2 Suction-Side 0.0113 0.0105 0.1000 3 Suction-Side 0.0133 0.0146 0.1000 4 Suction-Side 0.0160 0.0184 0.1000 5 Suction-Side 0.0190 0.0219 0.1000 6 Suction-Side 0.0222 0.0252 0.1000 7 Suction-Side 0.0256 0.0284 0.1000 8 Suction-Side 0.0291 0.0315 0.1000 9 Suction-Side 0.0327 0.0344 0.1000 10 Suction-Side 0.0364 0.0372 0.1000 11 Suction-Side 0.0402 0.0398 0.1000 12 Suction-Side 0.0440 0.0424 0.1000 13 Suction-Side 0.0479 0.0449 0.1000 14 Suction-Side 0.0518 0.0474 0.1000 15 Suction-Side 0.0559 0.0497 0.1000 16 Suction-Side 0.0599 0.0519 0.1000 17 Suction-Side 0.0640 0.0540 0.1000 18 Suction-Side 0.0682 0.0561 0.1000 19 Suction-Side 0.0724 0.0580 0.1000 20 Suction-Side 0.0766 0.0599 0.1000 21 Suction-Side 0.0809 0.0616 0.1000 22 Suction-Side 0.0853 0.0633 0.1000 23 Suction-Side 0.0896 0.0649 0.1000 24 Suction-Side 0.0940 0.0663 0.1000 25 Suction-Side 0.0985 0.0677 0.1000 26 Suction-Side 0.1029 0.0689 0.1000 27 Suction-Side 0.1074 0.0701 0.1000 28 Suction-Side 0.1119 0.0711 0.1000 29 Suction-Side 0.1165 0.0720 0.1000 30 Suction-Side 0.1210 0.0728 0.1000 31 Suction-Side 0.1256 0.0735 0.1000 32 Suction-Side 0.1302 0.0741 0.1000 33 Suction-Side 0.1348 0.0745 0.1000 34 Suction-Side 0.1394 0.0748 0.1000 35 Suction-Side 0.1441 0.0749 0.1000 36 Suction-Side 0.1487 0.0749 0.1000 37 Suction-Side 0.1533 0.0748 0.1000 38 Suction-Side 0.1580 0.0745 0.1000 39 Suction-Side 0.1626 0.0741 0.1000 40 Suction-Side 0.1672 0.0736 0.1000 41 Suction-Side 0.1718 0.0729 0.1000 42 Suction-Side 0.1763 0.0720 0.1000 43 Suction-Side 0.1808 0.0710 0.1000 44 Suction-Side 0.1853 0.0698 0.1000 45 Suction-Side 0.1898 0.0685 0.1000 46 Suction-Side 0.1942 0.0671 0.1000 47 Suction-Side 0.1985 0.0655 0.1000 48 Suction-Side 0.2028 0.0638 0.1000 49 Suction-Side 0.2071 0.0619 0.1000 50 Suction-Side 0.2113 0.0599 0.1000 51 Suction-Side 0.2154 0.0578 0.1000 52 Suction-Side 0.2194 0.0555 0.1000 53 Suction-Side 0.2234 0.0532 0.1000 54 Suction-Side 0.2273 0.0507 0.1000 55 Suction-Side 0.2311 0.0481 0.1000 56 Suction-Side 0.2349 0.0453 0.1000 57 Suction-Side 0.2386 0.0425 0.1000 58 Suction-Side 0.2422 0.0396 0.1000 59 Suction-Side 0.2457 0.0366 0.1000 60 Suction-Side 0.2491 0.0335 0.1000 61 Suction-Side 0.2525 0.0303 0.1000 62 Suction-Side 0.2558 0.0271 0.1000 63 Suction-Side 0.2590 0.0237 0.1000 64 Suction-Side 0.2622 0.0204 0.1000 65 Suction-Side 0.2653 0.0169 0.1000 66 Suction-Side 0.2683 0.0134 0.1000 67 Suction-Side 0.2713 0.0098 0.1000 68 Suction-Side 0.2742 0.0062 0.1000 69 Suction-Side 0.2770 0.0026 0.1000 70 Suction-Side 0.2798 −0.0011 0.1000 71 Suction-Side 0.2825 −0.0049 0.1000 72 Suction-Side 0.2852 −0.0087 0.1000 73 Suction-Side 0.2878 −0.0125 0.1000 74 Suction-Side 0.2904 −0.0163 0.1000 75 Suction-Side 0.2930 −0.0202 0.1000 76 Suction-Side 0.2955 −0.0241 0.1000 77 Suction-Side 0.2979 −0.0280 0.1000 78 Suction-Side 0.3004 −0.0320 0.1000 79 Suction-Side 0.3028 −0.0359 0.1000 80 Suction-Side 0.3052 −0.0399 0.1000 81 Suction-Side 0.3075 −0.0439 0.1000 82 Suction-Side 0.3098 −0.0479 0.1000 83 Suction-Side 0.3121 −0.0519 0.1000 84 Suction-Side 0.3144 −0.0560 0.1000 85 Suction-Side 0.3166 −0.0600 0.1000 86 Suction-Side 0.3189 −0.0641 0.1000 87 Suction-Side 0.3211 −0.0681 0.1000 88 Suction-Side 0.3233 −0.0722 0.1000 89 Suction-Side 0.3255 −0.0763 0.1000 90 Suction-Side 0.3277 −0.0804 0.1000 91 Suction-Side 0.3299 −0.0845 0.1000 92 Suction-Side 0.3320 −0.0886 0.1000 93 Suction-Side 0.3342 −0.0927 0.1000 94 Suction-Side 0.3363 −0.0968 0.1000 95 Suction-Side 0.3384 −0.1009 0.1000 96 Suction-Side 0.3393 −0.1029 0.1000 97 Suction-Side 0.3394 −0.1046 0.1000 98 Suction-Side 0.3389 −0.1062 0.1000 99 Suction-Side 0.3379 −0.1075 0.1000 100 Suction-Side 0.3365 −0.1084 0.1000 101 Pressure-Side 0.0108 0.0059 0.1000 102 Pressure-Side 0.0126 0.0026 0.1000 103 Pressure-Side 0.0157 0.0005 0.1000 104 Pressure-Side 0.0194 −0.0007 0.1000 105 Pressure-Side 0.0232 −0.0012 0.1000 106 Pressure-Side 0.0270 −0.0014 0.1000 107 Pressure-Side 0.0309 −0.0013 0.1000 108 Pressure-Side 0.0347 −0.0011 0.1000 109 Pressure-Side 0.0385 −0.0008 0.1000 110 Pressure-Side 0.0423 −0.0004 0.1000 111 Pressure-Side 0.0461 0.0001 0.1000 112 Pressure-Side 0.0499 0.0005 0.1000 113 Pressure-Side 0.0537 0.0010 0.1000 114 Pressure-Side 0.0575 0.0015 0.1000 115 Pressure-Side 0.0613 0.0020 0.1000 116 Pressure-Side 0.0651 0.0025 0.1000 117 Pressure-Side 0.0689 0.0030 0.1000 118 Pressure-Side 0.0728 0.0035 0.1000 119 Pressure-Side 0.0766 0.0039 0.1000 120 Pressure-Side 0.0804 0.0043 0.1000 121 Pressure-Side 0.0842 0.0047 0.1000 122 Pressure-Side 0.0880 0.0051 0.1000 123 Pressure-Side 0.0918 0.0055 0.1000 124 Pressure-Side 0.0956 0.0058 0.1000 125 Pressure-Side 0.0995 0.0060 0.1000 126 Pressure-Side 0.1033 0.0062 0.1000 127 Pressure-Side 0.1071 0.0064 0.1000 128 Pressure-Side 0.1110 0.0066 0.1000 129 Pressure-Side 0.1148 0.0066 0.1000 130 Pressure-Side 0.1186 0.0067 0.1000 131 Pressure-Side 0.1225 0.0067 0.1000 132 Pressure-Side 0.1263 0.0066 0.1000 133 Pressure-Side 0.1301 0.0065 0.1000 134 Pressure-Side 0.1340 0.0063 0.1000 135 Pressure-Side 0.1378 0.0060 0.1000 136 Pressure-Side 0.1416 0.0058 0.1000 137 Pressure-Side 0.1454 0.0054 0.1000 138 Pressure-Side 0.1492 0.0050 0.1000 139 Pressure-Side 0.1530 0.0045 0.1000 140 Pressure-Side 0.1568 0.0040 0.1000 141 Pressure-Side 0.1606 0.0034 0.1000 142 Pressure-Side 0.1644 0.0028 0.1000 143 Pressure-Side 0.1682 0.0020 0.1000 144 Pressure-Side 0.1719 0.0013 0.1000 145 Pressure-Side 0.1757 0.0004 0.1000 146 Pressure-Side 0.1794 −0.0005 0.1000 147 Pressure-Side 0.1831 −0.0014 0.1000 148 Pressure-Side 0.1868 −0.0024 0.1000 149 Pressure-Side 0.1905 −0.0035 0.1000 150 Pressure-Side 0.1942 −0.0046 0.1000 151 Pressure-Side 0.1978 −0.0058 0.1000 152 Pressure-Side 0.2014 −0.0071 0.1000 153 Pressure-Side 0.2050 −0.0084 0.1000 154 Pressure-Side 0.2086 −0.0098 0.1000 155 Pressure-Side 0.2122 −0.0112 0.1000 156 Pressure-Side 0.2157 −0.0127 0.1000 157 Pressure-Side 0.2192 −0.0142 0.1000 158 Pressure-Side 0.2227 −0.0158 0.1000 159 Pressure-Side 0.2262 −0.0175 0.1000 160 Pressure-Side 0.2296 −0.0192 0.1000 161 Pressure-Side 0.2330 −0.0209 0.1000 162 Pressure-Side 0.2364 −0.0227 0.1000 163 Pressure-Side 0.2398 −0.0245 0.1000 164 Pressure-Side 0.2431 −0.0264 0.1000 165 Pressure-Side 0.2464 −0.0284 0.1000 166 Pressure-Side 0.2497 −0.0304 0.1000 167 Pressure-Side 0.2529 −0.0324 0.1000 168 Pressure-Side 0.2561 −0.0345 0.1000 169 Pressure-Side 0.2593 −0.0366 0.1000 170 Pressure-Side 0.2625 −0.0388 0.1000 171 Pressure-Side 0.2656 −0.0410 0.1000 172 Pressure-Side 0.2687 −0.0433 0.1000 173 Pressure-Side 0.2718 −0.0456 0.1000 174 Pressure-Side 0.2748 −0.0480 0.1000 175 Pressure-Side 0.2778 −0.0504 0.1000 176 Pressure-Side 0.2807 −0.0528 0.1000 177 Pressure-Side 0.2836 −0.0553 0.1000 178 Pressure-Side 0.2865 −0.0578 0.1000 179 Pressure-Side 0.2894 −0.0604 0.1000 180 Pressure-Side 0.2922 −0.0630 0.1000 181 Pressure-Side 0.2950 −0.0656 0.1000 182 Pressure-Side 0.2977 −0.0683 0.1000 183 Pressure-Side 0.3004 −0.0710 0.1000 184 Pressure-Side 0.3031 −0.0738 0.1000 185 Pressure-Side 0.3057 −0.0766 0.1000 186 Pressure-Side 0.3083 −0.0794 0.1000 187 Pressure-Side 0.3109 −0.0822 0.1000 188 Pressure-Side 0.3134 −0.0851 0.1000 189 Pressure-Side 0.3159 −0.0880 0.1000 190 Pressure-Side 0.3184 −0.0910 0.1000 191 Pressure-Side 0.3208 −0.0939 0.1000 192 Pressure-Side 0.3232 −0.0969 0.1000 193 Pressure-Side 0.3256 −0.0999 0.1000 194 Pressure-Side 0.3279 −0.1030 0.1000 195 Pressure-Side 0.3302 −0.1060 0.1000 196 Pressure-Side 0.3314 −0.1075 0.1000 197 Pressure-Side 0.3325 −0.1082 0.1000 198 Pressure-Side 0.3338 −0.1087 0.1000 199 Pressure-Side 0.3352 −0.1088 0.1000 200 Pressure-Side 0.3365 −0.1084 0.1000 1 Suction-Side 0.0220 0.0165 0.2178 2 Suction-Side 0.0231 0.0209 0.2178 3 Suction-Side 0.0251 0.0248 0.2178 4 Suction-Side 0.0277 0.0285 0.2178 5 Suction-Side 0.0306 0.0319 0.2178 6 Suction-Side 0.0336 0.0352 0.2178 7 Suction-Side 0.0368 0.0383 0.2178 8 Suction-Side 0.0402 0.0413 0.2178 9 Suction-Side 0.0437 0.0441 0.2178 10 Suction-Side 0.0472 0.0468 0.2178 11 Suction-Side 0.0509 0.0494 0.2178 12 Suction-Side 0.0546 0.0519 0.2178 13 Suction-Side 0.0584 0.0543 0.2178 14 Suction-Side 0.0622 0.0566 0.2178 15 Suction-Side 0.0661 0.0588 0.2178 16 Suction-Side 0.0701 0.0609 0.2178 17 Suction-Side 0.0741 0.0629 0.2178 18 Suction-Side 0.0782 0.0648 0.2178 19 Suction-Side 0.0823 0.0665 0.2178 20 Suction-Side 0.0865 0.0682 0.2178 21 Suction-Side 0.0907 0.0697 0.2178 22 Suction-Side 0.0949 0.0712 0.2178 23 Suction-Side 0.0992 0.0725 0.2178 24 Suction-Side 0.1035 0.0737 0.2178 25 Suction-Side 0.1078 0.0748 0.2178 26 Suction-Side 0.1122 0.0758 0.2178 27 Suction-Side 0.1166 0.0767 0.2178 28 Suction-Side 0.1210 0.0774 0.2178 29 Suction-Side 0.1255 0.0780 0.2178 30 Suction-Side 0.1299 0.0784 0.2178 31 Suction-Side 0.1344 0.0788 0.2178 32 Suction-Side 0.1389 0.0789 0.2178 33 Suction-Side 0.1433 0.0790 0.2178 34 Suction-Side 0.1478 0.0788 0.2178 35 Suction-Side 0.1523 0.0786 0.2178 36 Suction-Side 0.1568 0.0782 0.2178 37 Suction-Side 0.1612 0.0776 0.2178 38 Suction-Side 0.1656 0.0769 0.2178 39 Suction-Side 0.1700 0.0760 0.2178 40 Suction-Side 0.1744 0.0750 0.2178 41 Suction-Side 0.1787 0.0738 0.2178 42 Suction-Side 0.1830 0.0725 0.2178 43 Suction-Side 0.1872 0.0710 0.2178 44 Suction-Side 0.1914 0.0694 0.2178 45 Suction-Side 0.1955 0.0677 0.2178 46 Suction-Side 0.1996 0.0658 0.2178 47 Suction-Side 0.2036 0.0638 0.2178 48 Suction-Side 0.2075 0.0616 0.2178 49 Suction-Side 0.2114 0.0594 0.2178 50 Suction-Side 0.2152 0.0570 0.2178 51 Suction-Side 0.2189 0.0545 0.2178 52 Suction-Side 0.2226 0.0519 0.2178 53 Suction-Side 0.2262 0.0493 0.2178 54 Suction-Side 0.2297 0.0465 0.2178 55 Suction-Side 0.2331 0.0436 0.2178 56 Suction-Side 0.2365 0.0407 0.2178 57 Suction-Side 0.2398 0.0377 0.2178 58 Suction-Side 0.2431 0.0346 0.2178 59 Suction-Side 0.2462 0.0314 0.2178 60 Suction-Side 0.2493 0.0282 0.2178 61 Suction-Side 0.2524 0.0249 0.2178 62 Suction-Side 0.2554 0.0216 0.2178 63 Suction-Side 0.2583 0.0182 0.2178 64 Suction-Side 0.2612 0.0148 0.2178 65 Suction-Side 0.2640 0.0113 0.2178 66 Suction-Side 0.2668 0.0078 0.2178 67 Suction-Side 0.2695 0.0042 0.2178 68 Suction-Side 0.2722 0.0006 0.2178 69 Suction-Side 0.2748 −0.0030 0.2178 70 Suction-Side 0.2774 −0.0067 0.2178 71 Suction-Side 0.2799 −0.0104 0.2178 72 Suction-Side 0.2824 −0.0141 0.2178 73 Suction-Side 0.2849 −0.0178 0.2178 74 Suction-Side 0.2873 −0.0216 0.2178 75 Suction-Side 0.2897 −0.0254 0.2178 76 Suction-Side 0.2921 −0.0292 0.2178 77 Suction-Side 0.2944 −0.0330 0.2178 78 Suction-Side 0.2967 −0.0369 0.2178 79 Suction-Side 0.2990 −0.0407 0.2178 80 Suction-Side 0.3013 −0.0446 0.2178 81 Suction-Side 0.3035 −0.0485 0.2178 82 Suction-Side 0.3057 −0.0523 0.2178 83 Suction-Side 0.3079 −0.0562 0.2178 84 Suction-Side 0.3101 −0.0602 0.2178 85 Suction-Side 0.3123 −0.0641 0.2178 86 Suction-Side 0.3144 −0.0680 0.2178 87 Suction-Side 0.3166 −0.0719 0.2178 88 Suction-Side 0.3187 −0.0759 0.2178 89 Suction-Side 0.3208 −0.0798 0.2178 90 Suction-Side 0.3229 −0.0838 0.2178 91 Suction-Side 0.3250 −0.0877 0.2178 92 Suction-Side 0.3271 −0.0917 0.2178 93 Suction-Side 0.3292 −0.0957 0.2178 94 Suction-Side 0.3313 −0.0996 0.2178 95 Suction-Side 0.3334 −0.1036 0.2178 96 Suction-Side 0.3341 −0.1056 0.2178 97 Suction-Side 0.3341 −0.1072 0.2178 98 Suction-Side 0.3335 −0.1087 0.2178 99 Suction-Side 0.3324 −0.1099 0.2178 100 Suction-Side 0.3311 −0.1108 0.2178 101 Pressure-Side 0.0220 0.0165 0.2178 102 Pressure-Side 0.0230 0.0130 0.2178 103 Pressure-Side 0.0257 0.0105 0.2178 104 Pressure-Side 0.0292 0.0091 0.2178 105 Pressure-Side 0.0329 0.0085 0.2178 106 Pressure-Side 0.0366 0.0084 0.2178 107 Pressure-Side 0.0403 0.0084 0.2178 108 Pressure-Side 0.0440 0.0087 0.2178 109 Pressure-Side 0.0478 0.0090 0.2178 110 Pressure-Side 0.0515 0.0094 0.2178 111 Pressure-Side 0.0552 0.0099 0.2178 112 Pressure-Side 0.0589 0.0103 0.2178 113 Pressure-Side 0.0626 0.0108 0.2178 114 Pressure-Side 0.0663 0.0113 0.2178 115 Pressure-Side 0.0700 0.0118 0.2178 116 Pressure-Side 0.0737 0.0123 0.2178 117 Pressure-Side 0.0774 0.0127 0.2178 118 Pressure-Side 0.0811 0.0131 0.2178 119 Pressure-Side 0.0848 0.0135 0.2178 120 Pressure-Side 0.0885 0.0139 0.2178 121 Pressure-Side 0.0922 0.0142 0.2178 122 Pressure-Side 0.0959 0.0145 0.2178 123 Pressure-Side 0.0997 0.0147 0.2178 124 Pressure-Side 0.1034 0.0150 0.2178 125 Pressure-Side 0.1071 0.0151 0.2178 126 Pressure-Side 0.1108 0.0152 0.2178 127 Pressure-Side 0.1146 0.0153 0.2178 128 Pressure-Side 0.1183 0.0152 0.2178 129 Pressure-Side 0.1220 0.0152 0.2178 130 Pressure-Side 0.1257 0.0150 0.2178 131 Pressure-Side 0.1295 0.0148 0.2178 132 Pressure-Side 0.1332 0.0146 0.2178 133 Pressure-Side 0.1369 0.0143 0.2178 134 Pressure-Side 0.1406 0.0139 0.2178 135 Pressure-Side 0.1443 0.0134 0.2178 136 Pressure-Side 0.1480 0.0129 0.2178 137 Pressure-Side 0.1517 0.0123 0.2178 138 Pressure-Side 0.1554 0.0117 0.2178 139 Pressure-Side 0.1590 0.0110 0.2178 140 Pressure-Side 0.1627 0.0102 0.2178 141 Pressure-Side 0.1663 0.0093 0.2178 142 Pressure-Side 0.1699 0.0084 0.2178 143 Pressure-Side 0.1735 0.0074 0.2178 144 Pressure-Side 0.1771 0.0064 0.2178 145 Pressure-Side 0.1807 0.0052 0.2178 146 Pressure-Side 0.1842 0.0041 0.2178 147 Pressure-Side 0.1877 0.0028 0.2178 148 Pressure-Side 0.1912 0.0015 0.2178 149 Pressure-Side 0.1947 0.0001 0.2178 150 Pressure-Side 0.1981 −0.0013 0.2178 151 Pressure-Side 0.2015 −0.0028 0.2178 152 Pressure-Side 0.2049 −0.0043 0.2178 153 Pressure-Side 0.2083 −0.0059 0.2178 154 Pressure-Side 0.2116 −0.0076 0.2178 155 Pressure-Side 0.2150 −0.0093 0.2178 156 Pressure-Side 0.2182 −0.0111 0.2178 157 Pressure-Side 0.2215 −0.0129 0.2178 158 Pressure-Side 0.2247 −0.0147 0.2178 159 Pressure-Side 0.2279 −0.0166 0.2178 160 Pressure-Side 0.2311 −0.0186 0.2178 161 Pressure-Side 0.2343 −0.0206 0.2178 162 Pressure-Side 0.2374 −0.0226 0.2178 163 Pressure-Side 0.2405 −0.0247 0.2178 164 Pressure-Side 0.2436 −0.0268 0.2178 165 Pressure-Side 0.2466 −0.0290 0.2178 166 Pressure-Side 0.2496 −0.0312 0.2178 167 Pressure-Side 0.2526 −0.0334 0.2178 168 Pressure-Side 0.2556 −0.0357 0.2178 169 Pressure-Side 0.2585 −0.0380 0.2178 170 Pressure-Side 0.2614 −0.0404 0.2178 171 Pressure-Side 0.2642 −0.0428 0.2178 172 Pressure-Side 0.2671 −0.0452 0.2178 173 Pressure-Side 0.2699 −0.0476 0.2178 174 Pressure-Side 0.2727 −0.0501 0.2178 175 Pressure-Side 0.2754 −0.0526 0.2178 176 Pressure-Side 0.2782 −0.0552 0.2178 177 Pressure-Side 0.2809 −0.0577 0.2178 178 Pressure-Side 0.2835 −0.0604 0.2178 179 Pressure-Side 0.2862 −0.0630 0.2178 180 Pressure-Side 0.2888 −0.0656 0.2178 181 Pressure-Side 0.2914 −0.0683 0.2178 182 Pressure-Side 0.2939 −0.0710 0.2178 183 Pressure-Side 0.2965 −0.0738 0.2178 184 Pressure-Side 0.2990 −0.0765 0.2178 185 Pressure-Side 0.3015 −0.0793 0.2178 186 Pressure-Side 0.3039 −0.0821 0.2178 187 Pressure-Side 0.3064 −0.0850 0.2178 188 Pressure-Side 0.3088 −0.0878 0.2178 189 Pressure-Side 0.3111 −0.0907 0.2178 190 Pressure-Side 0.3135 −0.0936 0.2178 191 Pressure-Side 0.3158 −0.0965 0.2178 192 Pressure-Side 0.3182 −0.0994 0.2178 193 Pressure-Side 0.3204 −0.1023 0.2178 194 Pressure-Side 0.3227 −0.1053 0.2178 195 Pressure-Side 0.3250 −0.1083 0.2178 196 Pressure-Side 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Suction-Side 0.1040 0.0772 0.3000 24 Suction-Side 0.1082 0.0782 0.3000 25 Suction-Side 0.1125 0.0791 0.3000 26 Suction-Side 0.1168 0.0798 0.3000 27 Suction-Side 0.1211 0.0804 0.3000 28 Suction-Side 0.1255 0.0809 0.3000 29 Suction-Side 0.1298 0.0812 0.3000 30 Suction-Side 0.1342 0.0814 0.3000 31 Suction-Side 0.1386 0.0815 0.3000 32 Suction-Side 0.1429 0.0814 0.3000 33 Suction-Side 0.1473 0.0811 0.3000 34 Suction-Side 0.1516 0.0807 0.3000 35 Suction-Side 0.1560 0.0801 0.3000 36 Suction-Side 0.1603 0.0794 0.3000 37 Suction-Side 0.1646 0.0786 0.3000 38 Suction-Side 0.1688 0.0776 0.3000 39 Suction-Side 0.1730 0.0764 0.3000 40 Suction-Side 0.1772 0.0751 0.3000 41 Suction-Side 0.1813 0.0737 0.3000 42 Suction-Side 0.1854 0.0721 0.3000 43 Suction-Side 0.1894 0.0704 0.3000 44 Suction-Side 0.1934 0.0685 0.3000 45 Suction-Side 0.1973 0.0665 0.3000 46 Suction-Side 0.2011 0.0644 0.3000 47 Suction-Side 0.2049 0.0622 0.3000 48 Suction-Side 0.2086 0.0599 0.3000 49 Suction-Side 0.2123 0.0575 0.3000 50 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Pressure-Side 0.0695 0.0280 0.4000 112 Pressure-Side 0.0730 0.0284 0.4000 113 Pressure-Side 0.0766 0.0288 0.4000 114 Pressure-Side 0.0801 0.0291 0.4000 115 Pressure-Side 0.0837 0.0294 0.4000 116 Pressure-Side 0.0872 0.0296 0.4000 117 Pressure-Side 0.0908 0.0298 0.4000 118 Pressure-Side 0.0943 0.0299 0.4000 119 Pressure-Side 0.0979 0.0300 0.4000 120 Pressure-Side 0.1015 0.0300 0.4000 121 Pressure-Side 0.1050 0.0300 0.4000 122 Pressure-Side 0.1086 0.0298 0.4000 123 Pressure-Side 0.1122 0.0297 0.4000 124 Pressure-Side 0.1157 0.0294 0.4000 125 Pressure-Side 0.1193 0.0291 0.4000 126 Pressure-Side 0.1228 0.0288 0.4000 127 Pressure-Side 0.1264 0.0283 0.4000 128 Pressure-Side 0.1299 0.0278 0.4000 129 Pressure-Side 0.1334 0.0273 0.4000 130 Pressure-Side 0.1369 0.0266 0.4000 131 Pressure-Side 0.1404 0.0259 0.4000 132 Pressure-Side 0.1439 0.0252 0.4000 133 Pressure-Side 0.1474 0.0244 0.4000 134 Pressure-Side 0.1508 0.0235 0.4000 135 Pressure-Side 0.1542 0.0225 0.4000 136 Pressure-Side 0.1577 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Suction-Side 0.0777 0.0764 0.5000 14 Suction-Side 0.0814 0.0782 0.5000 15 Suction-Side 0.0851 0.0798 0.5000 16 Suction-Side 0.0889 0.0813 0.5000 17 Suction-Side 0.0928 0.0826 0.5000 18 Suction-Side 0.0967 0.0838 0.5000 19 Suction-Side 0.1007 0.0848 0.5000 20 Suction-Side 0.1047 0.0858 0.5000 21 Suction-Side 0.1087 0.0865 0.5000 22 Suction-Side 0.1128 0.0871 0.5000 23 Suction-Side 0.1169 0.0876 0.5000 24 Suction-Side 0.1209 0.0879 0.5000 25 Suction-Side 0.1250 0.0880 0.5000 26 Suction-Side 0.1291 0.0880 0.5000 27 Suction-Side 0.1332 0.0879 0.5000 28 Suction-Side 0.1373 0.0875 0.5000 29 Suction-Side 0.1414 0.0871 0.5000 30 Suction-Side 0.1454 0.0864 0.5000 31 Suction-Side 0.1495 0.0857 0.5000 32 Suction-Side 0.1534 0.0847 0.5000 33 Suction-Side 0.1574 0.0837 0.5000 34 Suction-Side 0.1613 0.0825 0.5000 35 Suction-Side 0.1652 0.0811 0.5000 36 Suction-Side 0.1690 0.0797 0.5000 37 Suction-Side 0.1728 0.0781 0.5000 38 Suction-Side 0.1765 0.0763 0.5000 39 Suction-Side 0.1802 0.0745 0.5000 40 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Suction-Side 0.2609 −0.0054 0.5000 68 Suction-Side 0.2632 −0.0088 0.5000 69 Suction-Side 0.2655 −0.0122 0.5000 70 Suction-Side 0.2677 −0.0156 0.5000 71 Suction-Side 0.2699 −0.0191 0.5000 72 Suction-Side 0.2720 −0.0226 0.5000 73 Suction-Side 0.2742 −0.0261 0.5000 74 Suction-Side 0.2763 −0.0296 0.5000 75 Suction-Side 0.2784 −0.0331 0.5000 76 Suction-Side 0.2805 −0.0366 0.5000 77 Suction-Side 0.2826 −0.0401 0.5000 78 Suction-Side 0.2847 −0.0437 0.5000 79 Suction-Side 0.2867 −0.0472 0.5000 80 Suction-Side 0.2887 −0.0508 0.5000 81 Suction-Side 0.2908 −0.0544 0.5000 82 Suction-Side 0.2928 −0.0579 0.5000 83 Suction-Side 0.2947 −0.0615 0.5000 84 Suction-Side 0.2967 −0.0651 0.5000 85 Suction-Side 0.2987 −0.0687 0.5000 86 Suction-Side 0.3007 −0.0723 0.5000 87 Suction-Side 0.3026 −0.0759 0.5000 88 Suction-Side 0.3045 −0.0795 0.5000 89 Suction-Side 0.3065 −0.0831 0.5000 90 Suction-Side 0.3084 −0.0867 0.5000 91 Suction-Side 0.3103 −0.0904 0.5000 92 Suction-Side 0.3122 −0.0940 0.5000 93 Suction-Side 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0.0136 0.5000 145 Pressure-Side 0.1889 0.0119 0.5000 146 Pressure-Side 0.1919 0.0101 0.5000 147 Pressure-Side 0.1949 0.0083 0.5000 148 Pressure-Side 0.1978 0.0065 0.5000 149 Pressure-Side 0.2007 0.0045 0.5000 150 Pressure-Side 0.2036 0.0026 0.5000 151 Pressure-Side 0.2065 0.0006 0.5000 152 Pressure-Side 0.2093 −0.0014 0.5000 153 Pressure-Side 0.2121 −0.0034 0.5000 154 Pressure-Side 0.2149 −0.0055 0.5000 155 Pressure-Side 0.2177 −0.0077 0.5000 156 Pressure-Side 0.2204 −0.0098 0.5000 157 Pressure-Side 0.2231 −0.0120 0.5000 158 Pressure-Side 0.2258 −0.0142 0.5000 159 Pressure-Side 0.2284 −0.0165 0.5000 160 Pressure-Side 0.2311 −0.0188 0.5000 161 Pressure-Side 0.2337 −0.0211 0.5000 162 Pressure-Side 0.2362 −0.0234 0.5000 163 Pressure-Side 0.2388 −0.0258 0.5000 164 Pressure-Side 0.2413 −0.0282 0.5000 165 Pressure-Side 0.2438 −0.0306 0.5000 166 Pressure-Side 0.2463 −0.0330 0.5000 167 Pressure-Side 0.2488 −0.0355 0.5000 168 Pressure-Side 0.2512 −0.0380 0.5000 169 Pressure-Side 0.2536 −0.0405 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0.0599 0.9000 124 Pressure-Side 0.1345 0.0585 0.9000 125 Pressure-Side 0.1373 0.0570 0.9000 126 Pressure-Side 0.1400 0.0554 0.9000 127 Pressure-Side 0.1428 0.0538 0.9000 128 Pressure-Side 0.1454 0.0522 0.9000 129 Pressure-Side 0.1481 0.0505 0.9000 130 Pressure-Side 0.1507 0.0488 0.9000 131 Pressure-Side 0.1533 0.0470 0.9000 132 Pressure-Side 0.1558 0.0451 0.9000 133 Pressure-Side 0.1584 0.0433 0.9000 134 Pressure-Side 0.1608 0.0413 0.9000 135 Pressure-Side 0.1633 0.0394 0.9000 136 Pressure-Side 0.1657 0.0374 0.9000 137 Pressure-Side 0.1681 0.0354 0.9000 138 Pressure-Side 0.1705 0.0333 0.9000 139 Pressure-Side 0.1729 0.0312 0.9000 140 Pressure-Side 0.1752 0.0291 0.9000 141 Pressure-Side 0.1775 0.0270 0.9000 142 Pressure-Side 0.1797 0.0248 0.9000 143 Pressure-Side 0.1820 0.0226 0.9000 144 Pressure-Side 0.1842 0.0204 0.9000 145 Pressure-Side 0.1864 0.0182 0.9000 146 Pressure-Side 0.1886 0.0159 0.9000 147 Pressure-Side 0.1908 0.0136 0.9000 148 Pressure-Side 0.1930 0.0113 0.9000 149 Pressure-Side 0.1951 0.0090 0.9000 150 Pressure-Side 0.1972 0.0067 0.9000 151 Pressure-Side 0.1993 0.0044 0.9000 152 Pressure-Side 0.2014 0.0020 0.9000 153 Pressure-Side 0.2035 −0.0003 0.9000 154 Pressure-Side 0.2055 −0.0027 0.9000 155 Pressure-Side 0.2076 −0.0051 0.9000 156 Pressure-Side 0.2096 −0.0075 0.9000 157 Pressure-Side 0.2116 −0.0099 0.9000 158 Pressure-Side 0.2136 −0.0123 0.9000 159 Pressure-Side 0.2156 −0.0148 0.9000 160 Pressure-Side 0.2176 −0.0172 0.9000 161 Pressure-Side 0.2195 −0.0196 0.9000 162 Pressure-Side 0.2215 −0.0221 0.9000 163 Pressure-Side 0.2234 −0.0246 0.9000 164 Pressure-Side 0.2254 −0.0270 0.9000 165 Pressure-Side 0.2273 −0.0295 0.9000 166 Pressure-Side 0.2292 −0.0320 0.9000 167 Pressure-Side 0.2312 −0.0345 0.9000 168 Pressure-Side 0.2331 −0.0370 0.9000 169 Pressure-Side 0.2350 −0.0395 0.9000 170 Pressure-Side 0.2369 −0.0420 0.9000 171 Pressure-Side 0.2388 −0.0445 0.9000 172 Pressure-Side 0.2407 −0.0470 0.9000 173 Pressure-Side 0.2425 −0.0495 0.9000 174 Pressure-Side 0.2444 −0.0520 0.9000 175 Pressure-Side 0.2463 −0.0546 0.9000 176 Pressure-Side 0.2482 −0.0571 0.9000 177 Pressure-Side 0.2500 −0.0596 0.9000 178 Pressure-Side 0.2519 −0.0621 0.9000 179 Pressure-Side 0.2538 −0.0647 0.9000 180 Pressure-Side 0.2556 −0.0672 0.9000 181 Pressure-Side 0.2575 −0.0697 0.9000 182 Pressure-Side 0.2593 −0.0723 0.9000 183 Pressure-Side 0.2612 −0.0748 0.9000 184 Pressure-Side 0.2630 −0.0774 0.9000 185 Pressure-Side 0.2649 −0.0799 0.9000 186 Pressure-Side 0.2667 −0.0824 0.9000 187 Pressure-Side 0.2685 −0.0850 0.9000 188 Pressure-Side 0.2704 −0.0875 0.9000 189 Pressure-Side 0.2722 −0.0901 0.9000 190 Pressure-Side 0.2741 −0.0926 0.9000 191 Pressure-Side 0.2759 −0.0952 0.9000 192 Pressure-Side 0.2777 −0.0977 0.9000 193 Pressure-Side 0.2796 −0.1003 0.9000 194 Pressure-Side 0.2814 −0.1028 0.9000 195 Pressure-Side 0.2833 −0.1053 0.9000 196 Pressure-Side 0.2846 −0.1061 0.9000 197 Pressure-Side 0.2857 −0.1064 0.9000 198 Pressure-Side 0.2868 −0.1065 0.9000 199 Pressure-Side 0.2879 −0.1062 0.9000 200 Pressure-Side 0.2889 −0.1057 0.9000 1 Suction-Side 0.0744 0.0987 1.0000 2 Suction-Side 0.0756 0.1018 1.0000 3 Suction-Side 0.0776 0.1045 1.0000 4 Suction-Side 0.0802 0.1067 1.0000 5 Suction-Side 0.0831 0.1085 1.0000 6 Suction-Side 0.0863 0.1099 1.0000 7 Suction-Side 0.0895 0.1109 1.0000 8 Suction-Side 0.0928 0.1118 1.0000 9 Suction-Side 0.0961 0.1123 1.0000 10 Suction-Side 0.0995 0.1127 1.0000 11 Suction-Side 0.1029 0.1128 1.0000 12 Suction-Side 0.1063 0.1127 1.0000 13 Suction-Side 0.1097 0.1124 1.0000 14 Suction-Side 0.1131 0.1119 1.0000 15 Suction-Side 0.1164 0.1112 1.0000 16 Suction-Side 0.1197 0.1104 1.0000 17 Suction-Side 0.1230 0.1094 1.0000 18 Suction-Side 0.1262 0.1083 1.0000 19 Suction-Side 0.1294 0.1071 1.0000 20 Suction-Side 0.1325 0.1057 1.0000 21 Suction-Side 0.1356 0.1042 1.0000 22 Suction-Side 0.1386 0.1026 1.0000 23 Suction-Side 0.1415 0.1009 1.0000 24 Suction-Side 0.1444 0.0991 1.0000 25 Suction-Side 0.1473 0.0972 1.0000 26 Suction-Side 0.1500 0.0953 1.0000 27 Suction-Side 0.1528 0.0933 1.0000 28 Suction-Side 0.1555 0.0911 1.0000 29 Suction-Side 0.1581 0.0890 1.0000 30 Suction-Side 0.1607 0.0868 1.0000 31 Suction-Side 0.1632 0.0845 1.0000 32 Suction-Side 0.1657 0.0822 1.0000 33 Suction-Side 0.1681 0.0798 1.0000 34 Suction-Side 0.1706 0.0774 1.0000 35 Suction-Side 0.1729 0.0750 1.0000 36 Suction-Side 0.1753 0.0725 1.0000 37 Suction-Side 0.1776 0.0700 1.0000 38 Suction-Side 0.1798 0.0674 1.0000 39 Suction-Side 0.1820 0.0648 1.0000 40 Suction-Side 0.1842 0.0622 1.0000 41 Suction-Side 0.1864 0.0596 1.0000 42 Suction-Side 0.1886 0.0570 1.0000 43 Suction-Side 0.1907 0.0543 1.0000 44 Suction-Side 0.1928 0.0516 1.0000 45 Suction-Side 0.1949 0.0489 1.0000 46 Suction-Side 0.1969 0.0462 1.0000 47 Suction-Side 0.1989 0.0435 1.0000 48 Suction-Side 0.2009 0.0407 1.0000 49 Suction-Side 0.2029 0.0380 1.0000 50 Suction-Side 0.2049 0.0352 1.0000 51 Suction-Side 0.2069 0.0324 1.0000 52 Suction-Side 0.2088 0.0296 1.0000 53 Suction-Side 0.2107 0.0268 1.0000 54 Suction-Side 0.2126 0.0240 1.0000 55 Suction-Side 0.2145 0.0211 1.0000 56 Suction-Side 0.2164 0.0183 1.0000 57 Suction-Side 0.2183 0.0154 1.0000 58 Suction-Side 0.2201 0.0126 1.0000 59 Suction-Side 0.2220 0.0097 1.0000 60 Suction-Side 0.2238 0.0069 1.0000 61 Suction-Side 0.2256 0.0040 1.0000 62 Suction-Side 0.2274 0.0011 1.0000 63 Suction-Side 0.2292 −0.0018 1.0000 64 Suction-Side 0.2310 −0.0047 1.0000 65 Suction-Side 0.2328 −0.0076 1.0000 66 Suction-Side 0.2346 −0.0105 1.0000 67 Suction-Side 0.2364 −0.0134 1.0000 68 Suction-Side 0.2381 −0.0163 1.0000 69 Suction-Side 0.2399 −0.0192 1.0000 70 Suction-Side 0.2416 −0.0222 1.0000 71 Suction-Side 0.2433 −0.0251 1.0000 72 Suction-Side 0.2451 −0.0280 1.0000 73 Suction-Side 0.2468 −0.0310 1.0000 74 Suction-Side 0.2485 −0.0339 1.0000 75 Suction-Side 0.2502 −0.0369 1.0000 76 Suction-Side 0.2519 −0.0398 1.0000 77 Suction-Side 0.2536 −0.0428 1.0000 78 Suction-Side 0.2552 −0.0458 1.0000 79 Suction-Side 0.2569 −0.0487 1.0000 80 Suction-Side 0.2586 −0.0517 1.0000 81 Suction-Side 0.2603 −0.0547 1.0000 82 Suction-Side 0.2619 −0.0576 1.0000 83 Suction-Side 0.2635 −0.0606 1.0000 84 Suction-Side 0.2652 −0.0636 1.0000 85 Suction-Side 0.2668 −0.0666 1.0000 86 Suction-Side 0.2684 −0.0696 1.0000 87 Suction-Side 0.2701 −0.0726 1.0000 88 Suction-Side 0.2717 −0.0756 1.0000 89 Suction-Side 0.2733 −0.0786 1.0000 90 Suction-Side 0.2749 −0.0816 1.0000 91 Suction-Side 0.2764 −0.0846 1.0000 92 Suction-Side 0.2780 −0.0876 1.0000 93 Suction-Side 0.2796 −0.0906 1.0000 94 Suction-Side 0.2812 −0.0937 1.0000 95 Suction-Side 0.2826 −0.0967 1.0000 96 Suction-Side 0.2829 −0.0984 1.0000 97 Suction-Side 0.2828 −0.0996 1.0000 98 Suction-Side 0.2823 −0.1007 1.0000 99 Suction-Side 0.2816 −0.1017 1.0000 100 Suction-Side 0.2806 −0.1024 1.0000 101 Pressure-Side 0.0744 0.0987 1.0000 102 Pressure-Side 0.0749 0.0957 1.0000 103 Pressure-Side 0.0771 0.0935 1.0000 104 Pressure-Side 0.0797 0.0919 1.0000 105 Pressure-Side 0.0825 0.0905 1.0000 106 Pressure-Side 0.0853 0.0893 1.0000 107 Pressure-Side 0.0882 0.0882 1.0000 108 Pressure-Side 0.0910 0.0871 1.0000 109 Pressure-Side 0.0939 0.0860 1.0000 110 Pressure-Side 0.0968 0.0849 1.0000 111 Pressure-Side 0.0997 0.0838 1.0000 112 Pressure-Side 0.1025 0.0827 1.0000 113 Pressure-Side 0.1054 0.0815 1.0000 114 Pressure-Side 0.1082 0.0802 1.0000 115 Pressure-Side 0.1110 0.0789 1.0000 116 Pressure-Side 0.1138 0.0776 1.0000 117 Pressure-Side 0.1165 0.0762 1.0000 118 Pressure-Side 0.1192 0.0748 1.0000 119 Pressure-Side 0.1219 0.0733 1.0000 120 Pressure-Side 0.1246 0.0717 1.0000 121 Pressure-Side 0.1272 0.0702 1.0000 122 Pressure-Side 0.1298 0.0685 1.0000 123 Pressure-Side 0.1324 0.0668 1.0000 124 Pressure-Side 0.1350 0.0651 1.0000 125 Pressure-Side 0.1375 0.0633 1.0000 126 Pressure-Side 0.1400 0.0615 1.0000 127 Pressure-Side 0.1425 0.0597 1.0000 128 Pressure-Side 0.1449 0.0578 1.0000 129 Pressure-Side 0.1473 0.0559 1.0000 130 Pressure-Side 0.1497 0.0539 1.0000 131 Pressure-Side 0.1520 0.0519 1.0000 132 Pressure-Side 0.1543 0.0499 1.0000 133 Pressure-Side 0.1566 0.0478 1.0000 134 Pressure-Side 0.1589 0.0458 1.0000 135 Pressure-Side 0.1612 0.0437 1.0000 136 Pressure-Side 0.1634 0.0415 1.0000 137 Pressure-Side 0.1656 0.0394 1.0000 138 Pressure-Side 0.1677 0.0372 1.0000 139 Pressure-Side 0.1699 0.0350 1.0000 140 Pressure-Side 0.1720 0.0327 1.0000 141 Pressure-Side 0.1741 0.0305 1.0000 142 Pressure-Side 0.1762 0.0282 1.0000 143 Pressure-Side 0.1783 0.0260 1.0000 144 Pressure-Side 0.1804 0.0237 1.0000 145 Pressure-Side 0.1824 0.0214 1.0000 146 Pressure-Side 0.1844 0.0191 1.0000 147 Pressure-Side 0.1864 0.0167 1.0000 148 Pressure-Side 0.1884 0.0144 1.0000 149 Pressure-Side 0.1904 0.0120 1.0000 150 Pressure-Side 0.1924 0.0097 1.0000 151 Pressure-Side 0.1944 0.0073 1.0000 152 Pressure-Side 0.1963 0.0049 1.0000 153 Pressure-Side 0.1983 0.0025 1.0000 154 Pressure-Side 0.2002 0.0001 1.0000 155 Pressure-Side 0.2021 −0.0023 1.0000 156 Pressure-Side 0.2040 −0.0047 1.0000 157 Pressure-Side 0.2059 −0.0072 1.0000 158 Pressure-Side 0.2078 −0.0096 1.0000 159 Pressure-Side 0.2097 −0.0120 1.0000 160 Pressure-Side 0.2115 −0.0145 1.0000 161 Pressure-Side 0.2134 −0.0169 1.0000 162 Pressure-Side 0.2153 −0.0194 1.0000 163 Pressure-Side 0.2171 −0.0218 1.0000 164 Pressure-Side 0.2190 −0.0243 1.0000 165 Pressure-Side 0.2208 −0.0268 1.0000 166 Pressure-Side 0.2227 −0.0292 1.0000 167 Pressure-Side 0.2245 −0.0317 1.0000 168 Pressure-Side 0.2263 −0.0342 1.0000 169 Pressure-Side 0.2282 −0.0367 1.0000 170 Pressure-Side 0.2300 −0.0391 1.0000 171 Pressure-Side 0.2318 −0.0416 1.0000 172 Pressure-Side 0.2336 −0.0441 1.0000 173 Pressure-Side 0.2354 −0.0466 1.0000 174 Pressure-Side 0.2373 −0.0491 1.0000 175 Pressure-Side 0.2391 −0.0516 1.0000 176 Pressure-Side 0.2409 −0.0541 1.0000 177 Pressure-Side 0.2427 −0.0566 1.0000 178 Pressure-Side 0.2445 −0.0591 1.0000 179 Pressure-Side 0.2463 −0.0615 1.0000 180 Pressure-Side 0.2481 −0.0640 1.0000 181 Pressure-Side 0.2499 −0.0665 1.0000 182 Pressure-Side 0.2517 −0.0690 1.0000 183 Pressure-Side 0.2535 −0.0715 1.0000 184 Pressure-Side 0.2553 −0.0740 1.0000 185 Pressure-Side 0.2571 −0.0765 1.0000 186 Pressure-Side 0.2589 −0.0790 1.0000 187 Pressure-Side 0.2607 −0.0815 1.0000 188 Pressure-Side 0.2625 −0.0840 1.0000 189 Pressure-Side 0.2643 −0.0865 1.0000 190 Pressure-Side 0.2661 −0.0890 1.0000 191 Pressure-Side 0.2679 −0.0915 1.0000 192 Pressure-Side 0.2697 −0.0940 1.0000 193 Pressure-Side 0.2715 −0.0965 1.0000 194 Pressure-Side 0.2733 −0.0990 1.0000 195 Pressure-Side 0.2752 −0.1015 1.0000 196 Pressure-Side 0.2763 −0.1024 1.0000 197 Pressure-Side 0.2774 −0.1028 1.0000 198 Pressure-Side 0.2785 −0.1029 1.0000 199 Pressure-Side 0.2796 −0.1028 1.0000 200 Pressure-Side 0.2806 −0.1024 1.0000

According to various embodiments, and as a result of tip shroud fillet 222, a profile of airfoil 202 can be affected. For example, a portion of second end 220 of airfoil 202, along with adjoining tip shroud 218 between a pair of buckets 200 can vary radially, whereas a bucket without these features may have a different profile defining fluid flow between buckets.

Turning to FIG. 6, a schematic view of portions of a multi-shaft combined cycle power plant 900 is shown. Combined cycle power plant 900 may include, for example, a gas turbine 980 operably connected to a generator 970. Generator 970 and gas turbine 980 may be mechanically coupled by a shaft 915, which may transfer energy between a drive shaft (not shown) of gas turbine 980 and generator 970. Also shown in FIG. 6 is a heat exchanger 986 operably connected to gas turbine 980 and a steam turbine 992. Heat exchanger 986 may be fluidly connected to both gas turbine 980 and a steam turbine 992 via conventional conduits (numbering omitted). Gas turbine 980 and/or steam turbine 992 may include one or more buckets 200 as shown and described with reference to FIG. 2 and/or other embodiments described herein. Heat exchanger 986 may be a conventional heat recovery steam generator (HRSG), such as those used in conventional combined cycle power systems. As is known in the art of power generation, HRSG 986 may use hot exhaust from gas turbine 980, combined with a water supply, to create steam which is fed to steam turbine 992. Steam turbine 992 may optionally be coupled to a second generator system 970 (via a second shaft 915). It is understood that generators 970 and shafts 915 may be of any size or type known in the art and may differ depending upon their application or the system to which they are connected. Common numbering of the generators and shafts is for clarity and does not necessarily suggest these generators or shafts are identical. In another embodiment, shown in FIG. 7, a single shaft combined cycle power plant 990 may include a single generator 970 coupled to both gas turbine 980 and steam turbine 992 via a single shaft 915. Steam turbine 992 and/or gas turbine 980 may include one or more buckets 200 shown and described with reference to FIG. 2 and/or other embodiments described herein.

The apparatus and devices of the present disclosure are not limited to any one particular engine, turbine, jet engine, generator, power generation system or other system, and may be used with other aircraft systems, power generation systems and/or systems (e.g., combined cycle, simple cycle, nuclear reactor, etc.). Additionally, the apparatus of the present invention may be used with other systems not described herein that may benefit from the increased reduced tip leakage and increased efficiency of the apparatus and devices described herein.

In various embodiments, components described as being “coupled” to one another can be joined along one or more interfaces. In some embodiments, these interfaces can include junctions between distinct components, and in other cases, these interfaces can include a solidly and/or integrally formed interconnection. That is, in some cases, components that are “coupled” to one another can be simultaneously formed to define a single continuous member. However, in other embodiments, these coupled components can be formed as separate members and be subsequently joined through known processes (e.g., fastening, ultrasonic welding, bonding).

The terminology used herein is for the purpose of describing particular example embodiments only and is not intended to be limiting. As used herein, the singular forms “a”, “an” and “the” may be intended to include the plural forms as well, unless the context clearly indicates otherwise. The terms “comprises,” “comprising,” “including,” and “having,” are inclusive and therefore specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof. The method steps, processes, and operations described herein are not to be construed as necessarily requiring their performance in the particular order discussed or illustrated, unless specifically identified as an order of performance. It is also to be understood that additional or alternative steps may be employed.

When an element or layer is referred to as being “on”, “engaged to”, “connected to” or “coupled to” another element or layer, it may be directly on, engaged, connected or coupled to the other element or layer, or intervening elements or layers may be present. In contrast, when an element is referred to as being “directly on,” “directly engaged to”, “directly connected to” or “directly coupled to” another element or layer, there may be no intervening elements or layers present. Other words used to describe the relationship between elements should be interpreted in a like fashion (e.g., “between” versus “directly between,” “adjacent” versus “directly adjacent,” etc.). As used herein, the term “and/or” includes any and all combinations of one or more of the associated listed items.

Spatially relative terms, such as “inner,” “outer,” “beneath”, “below”, “lower”, “above”, “upper” and the like, may be used herein for ease of description to describe one element or feature's relationship to another element(s) or feature(s) as illustrated in the figures. Spatially relative terms may be intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. For example, if the device in the figures is turned over, elements described as “below” or “beneath” other elements or features would then be oriented “above” the other elements or features. Thus, the example term “below” can encompass both an orientation of above and below. The device may be otherwise oriented (rotated 90 degrees or at other orientations) and the spatially relative descriptors used herein interpreted accordingly.

The foregoing description of various aspects of the invention has been presented for purposes of illustration and description. It is not intended to be exhaustive or to limit the invention to the precise form disclosed, and obviously, many modifications and variations are possible. Such modifications and variations that may be apparent to an individual in the art are included within the scope of the invention as defined by the accompanying claims.

This written description uses examples to disclose the invention, including the best mode, and also to enable any person skilled in the art to practice the invention, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the invention is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims if they have structural elements that do not differ from the literal language of the claims, or if they include equivalent structural elements with insubstantial differences from the literal languages of the claims. 

We claim:
 1. A turbine bucket comprising: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge; and a tip shroud connected with a second end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the tip shroud including a tip shroud fillet connecting the airfoil and the tip shroud and having a non-uniform thickness across an axial length of the airfoil across an axial length of the airfoil, wherein the tip shroud fillet has a non-uniform thickness across an axial chord length of the airfoil as defined by: a first section having a first thickness and a second section having a second, greater thickness, wherein the second section spans between approximately 20 percent of the axial chord length of the airfoil and approximately 50 percent of the axial chord length of the airfoil, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Z coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.
 2. The turbine bucket of claim 1, further comprising a fillet connecting a surface of the base to a surface of the airfoil.
 3. The turbine bucket of claim 1, wherein the turbine bucket includes a third stage bucket.
 4. The turbine bucket of claim 1, wherein the base directs flow of a working fluid across a passage trough proximate the suction side of the airfoil.
 5. The turbine bucket of claim 1, wherein the base is radially inboard of the airfoil.
 6. A turbine rotor section comprising: a set of buckets, the set of buckets including at least one bucket having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge; and a tip shroud connected with a second end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the tip shroud including a tip shroud fillet connecting the airfoil and the tip shroud and having a non-uniform thickness across an axial length of the airfoil, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Z coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the Z values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.
 7. The turbine rotor section of claim 6, further comprising a fillet connecting a surface of the base to a surface of the airfoil.
 8. The turbine rotor section of claim 6, wherein the turbine bucket includes a third stage bucket.
 9. The turbine rotor section of claim 6, wherein the tip shroud fillet has a greater thickness between approximately 20 percent of an axial chord length of the airfoil and approximately 50 percent of an axial chord length of the airfoil.
 10. The turbine rotor section of claim 6, wherein the tip shroud includes a set of cross-drilled apertures.
 11. The turbine rotor section of claim 10, wherein the set of cross-drilled apertures are oriented at a divergent angle relative to primary cooling apertures extending radially through the tip shroud.
 12. A turbine bucket comprising: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and a base connected with a first end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the coordinate values are non-dimensional values of from 0 to 1 convertible to Z distances by multiplying the Z values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, the X, Y, and Z distances being scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.
 13. The turbine bucket of claim 12, further comprising: a tip shroud connected with a second end of the airfoil along the suction side, pressure side, trailing edge and the leading edge, the tip shroud including a tip shroud fillet connecting the airfoil and the tip shroud and having a non-uniform thickness across an axial length of the airfoil.
 14. The turbine bucket of claim 13, wherein the tip shroud fillet has a greater thickness between approximately 20 percent of an axial chord length of the airfoil and approximately 50 percent of an axial chord length of the airfoil.
 15. The turbine bucket of claim 13, wherein the tip shroud includes a set of cross-drilled apertures.
 16. The turbine bucket of claim 15, wherein the set of cross-drilled apertures are oriented at a divergent angle relative to primary cooling apertures extending radially through the tip shroud. 